Uriah's book bag is getting too heavy for him. He needs to remove 15 pounds from it. His comic books weigh 1/4 pound each and his toys weigh 1/2 pound each. If he removes 30 comic books, how many toys does he need to remove?

Answer: Uriah needs to remove 15 toys.

Step-by-step solution

Step 1: Calculate the total weight of comic books removed

First, we need to determine how much weight Uriah removed by taking out 30 comic books. We multiply the number of comic books by the weight of each comic book.

Step 2: Substitute values and calculate weight of comic books

Uriah removed 30 comic books, and each comic book weighs $1/4$ pound. Multiplying these values, we find that the total weight removed from comic books is $7.5$ pounds.

Step 3: Calculate the remaining weight to be removed

Uriah needs to remove a total of $15$ pounds. Since he has already removed $7.5$ pounds by taking out comic books, we subtract this amount from the total target weight to find out how much more weight he needs to remove using toys.

Step 4: Substitute values and calculate remaining weight

After removing $7.5$ pounds from comic books, Uriah still needs to remove $15 - 7.5 = 7.5$ pounds from his bag to reach his goal.

Step 5: Calculate the number of toys needed to be removed

To find out how many toys Uriah needs to remove, we divide the remaining weight he needs to shed by the weight of a single toy.

Step 6: Substitute values and calculate number of toys

Each toy weighs $1/2$ pound. To remove the remaining $7.5$ pounds, Uriah needs to remove $7.5 \div (1/2) = 7.5 \times 2 = 15$ toys.